AP EAMCET · PHYSICS · Electrostatics

Two charges $10 μC$ and $- 10 μC$ are placed at points A and B separated by a distance of $10 cm$ . Find the electric field at a point P on the perpendicular bisector of A B, at a distance of $12 cm$ from its mid-point.

A $16.4 \times 10^{6} N C^{- 1}$
B $28.4 \times 10^{6} N C^{- 1}$
C $8.2 \times 10^{6} N C^{- 1}$
D $4.1 \times 10^{6} N C^{- 1}$

Verified Solution

Answer & Solution

Correct Answer

(D) $4.1 \times 10^{6} N C^{- 1}$

Step-by-step Solution

Detailed explanation

The net electric field, Enet=2EAcosθ From the arrangement of chargers, cosθ=513 Net electric field, Enet=2×9×109×10×10-613×10-22×513 ⇒Enet=4.1×106 N/C

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From AP EAMCET

Explore more questions on app

Two charges 10 μC and -10 μC are placed at points A and B separated by a distance of 10 cm. Find the electric field at a point P on the perpendicular bisector of A B, at a distance of 12 cm from its mid-point.

Step-by-step Solution

Two charges $10 μC$ and $- 10 μC$ are placed at points A and B separated by a distance of $10 cm$ . Find the electric field at a point P on the perpendicular bisector of A B, at a distance of $12 cm$ from its mid-point.